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Finding the Fourth Proportional to 311,465.58, 465,491.40 and 227,402.78

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Solution

The fourth proportional to 311,465.58, 465,491.40 and 227,402.78 is: 339,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,465.58 : 465,491.40 = 227,402.78 : x
  2. Step 2: Convert to fraction form
    311,465.58/465,491.40 = 227,402.78/x
  3. Step 3: Cross multiply
    311,465.58x = 465,491.40 × 227,402.78
  4. Step 4: Simplify right side
    311,465.58x = 105,854,036,098.64
  5. Step 5: Solve for x
    x = 105,854,036,098.64/311,465.58
  6. Step 6: Final answer
    x = 339,857.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.